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3 years ago

What is the recursive formula for this sequence . 10,14,18,22,26

Mathematics

2 answers:

aniked [119]3 years ago

5 0

Thick it will de 9284

Marrrta [24]3 years ago

4 0

add 4 each time

the nth term is a_n or f(n)

the next term after that is a_{n+1} or f(n+1)

so each term is 4 more than previous

basically

a_{n+1}=4+a_n or

f(n+1)=4+f(n)

same thing

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Find the measure of x in each figure.

Alex

Step-by-step explanation:

Because 2x and 40° are complementary angles.

$\therefore \: (2x) \degree + 40 \degree = 90 \degree \\ \\ \therefore \: (2x) \degree = 90 \degree - 40 \degree \\ \\ \therefore \: (2x) \degree = 50 \degree \\ \\ \therefore \: 2x = 50 \\ \\ \therefore \: x = \frac{50}{2} \\ \\ \huge \red{ \boxed{ \therefore \: x = 25}}$

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4 years ago

Ann, ben and Cheryl share some money in the ratio 3:7:10

labwork [276]

Answer:

Step-by-step explanation:

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4 years ago

Please help!!

erastova [34]

Answer:

180, 180, 148, 180, 148

Step-by-step explanation:

The two rules in play here are ...

the sum of interior angles of a triangle is 180°
the angles of a linear pair are supplementary (they total 180°)

The first of these rules answers the first two questions:

interior angles total 180°
angles 1, 3, 4 total 180°

We can subtract the measure of angle 1 from both sides of the previous equation to find the sum of the remaining two angles.

angles 3 and 4 total 148°

The second rule answers the next question:

angles 1 and 2 total 180°

As before, subtracting the value of angle 1 from both sides of the equation gives ...

angle 2 must be 148°

_____

<em>Additional comment</em>

Of course, the subtraction property of equality comes into play, also. For some unknown, X, you have (in both cases) ...

X + 32° = 180°

X +32° -32° = 180° -32° . . . . . . subtraction property of equality

X = 148° . . . . . . . . simplify

In the first case, X is the sum of angles 3 and 4. In the second case, X is angle 2 only.

7 0

3 years ago

What is a gcf for 216 and 54 drawing?

Verizon [17]

Your answer is 54, the drawing is a bit wrong because I did the prime factor tree of 54 wrong, so you'd do 2 × 3 × 3 × 3 which is 54.

5 0

3 years ago

Sal's Sandwich Shop sells wraps and sandwiches as part of its lunch specials. The profit on every sandwich is $2 and the profit

coldgirl [10]

Changing the equation into slope form: $y = mx + c$ , where $m$ is the slope [gradient] and $c$ is the y-intercept.

$2x+3y=1470$
$3y = -2x+1470$
$y= - \frac{2}{3}x+ \frac{1470}{3}$
$y=- \frac{2}{3}x+490$

The gradient is $- \frac{2}{3}$ and y-intercept is at $y=490$

Graphing $y=- \frac{2}{3}x+490$ using slope-intercept method:
a) The slope is a negative slope. The line will go 'down hill'
b) The line must pass the point (0, 490)
c) The line will intercept the x-axis at y = 0
   $0 = - \frac{2}{3}x+490$
   $\frac{2}{3}x = 490$
   $2x = 1470$
   $x = \frac{1470}{2}$
   $x = 735$
So, x-intercept is at (735, 0)

The graph of this function is shown below. The intercepts are labelled at:
y = 490
x = 735

-----------------------------------------------------------------------------------------------------------

Next month's profit equation

$2x+3y=1593$

Rewriting this into slope-equation form

$3y = -2x+1593$
$y=- \frac{2}{3}+ \frac{1593}{3}$
$y= - \frac{2}{3}+531$

The gradient, $m$ , equals to $- \frac{2}{3}$
The y-intercept, $c$ , equals to 531

The equation still has the same gradient with last month's profit equation but different y-intercept.

-------------------------------------------------------------------------------------------------------------

A linear graph show points of (0, 300) and (450, 0)

We work out the slope:
$\frac{300-0}{0-450} = \frac{300}{-450}=- \frac{20}{30} =- \frac{2}{3}$

Y-intercept at x = 0, so it's at y = 300

Equation $y = - \frac{2}{3}+300$

6 0

3 years ago